How do you change #6^3 = 216# into log form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer seph Jun 4, 2016 #log_6 216 = 3# Explanation: #6^3 = 216# Apply #log_6# to both sides #=> log_6 6^3 = log_6 216# #=> 3log_6 6 = log_6 216# #=> 3 = log_6 216# Answer link Related questions What is a logarithm? What are common mistakes students make with logarithms? How can a logarithmic equation be solved by graphing? How can I calculate a logarithm without a calculator? How can logarithms be used to solve exponential equations? How do logarithmic functions work? What is the logarithm of a negative number? What is the logarithm of zero? How do I find the logarithm #log_(1/4) 1/64#? How do I find the logarithm #log_(2/3)(8/27)#? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 8430 views around the world You can reuse this answer Creative Commons License